Peter Rowlett, November 2023
More background information is given on the main page.
The list here is all 310 book chapters and which article they are drawn from. You can also view a list of 297 Scientific American articles in publishing order: list of Scientific American articles.
| Book | Chapter | Year | Month | Article title |
|---|---|---|---|---|
| 1. Mathematical Puzzles and Diversions | 1. Hexaflexagons | 1956 | Dec | Flexagons |
| 1. Mathematical Puzzles and Diversions | 2. Magic with a Matrix | 1957 | Jan | A new kind of magic square with remarkable properties |
| 1. Mathematical Puzzles and Diversions | 3. Nine Problems | 1957 | Feb | An assortment of maddening puzzles |
| 1. Mathematical Puzzles and Diversions | 4. Ticktactoe, or Noughts and Crosses | 1957 | Mar | Some old and new versions of ticktacktoe |
| 1. Mathematical Puzzles and Diversions | 5. Probability Paradoxes | 1957 | Apr | Paradoxes dealing with birthdays, playing cards, coins, crows and red-haired typists |
| 1. Mathematical Puzzles and Diversions | 6. The Icosian Game and the Tower of Hanoi | 1957 | May | About the remarkable similarity between the Icosian Game and the Tower of Hanoi |
| 1. Mathematical Puzzles and Diversions | 7. Curious Topological Models | 1957 | Jun | Curious figures descended from the Moebius band, which has only one side and one edge |
| 1. Mathematical Puzzles and Diversions | 8. The Game of Hex | 1957 | Jul | Concerning the game of Hex, which may be played on the tiles of the bathroom floor |
| 1. Mathematical Puzzles and Diversions | 9. Sam Loyd: America’s Greatest Puzzlist | 1957 | Aug | The life and work of Sam Loyd, a mighty inventor of puzzles |
| 1. Mathematical Puzzles and Diversions | 10. Mathematical Card Tricks | 1957 | Sep | Concerning various card tricks with a mathematical message |
| 1. Mathematical Puzzles and Diversions | 11. Memorizing Numbers | 1957 | Oct | How to remember numbers by mnemonic devices such as cuff links and red zebras |
| 1. Mathematical Puzzles and Diversions | 12. Nine More Problems | 1957 | Nov | Nine titillating puzzles |
| 1. Mathematical Puzzles and Diversions | 13. Polyominoes | 1957 | Dec | More about complex dominoes |
| 1. Mathematical Puzzles and Diversions | 14. Fallacies | 1958 | Jan | A collection of tantalizing fallacies of mathematics |
| 1. Mathematical Puzzles and Diversions | 15. Nim and Tic Tax | 1958 | Feb | Concerning the game of Nim and its mathematical analysis |
| 1. Mathematical Puzzles and Diversions | 16. Left or Right? | 1958 | Mar | About left- and right-handedness, mirror images and kindred matters |
| 2. More Mathematical Puzzles and Diversions | 1. The Five Platonic Solids | 1958 | Dec | Diversions which involve the five Platonic solids |
| 2. More Mathematical Puzzles and Diversions | 2. Tetraflexagons | 1958 | May | About tetraflexagons and tetraflexagation |
| 2. More Mathematical Puzzles and Diversions | 3. Henry Ernest Dudeney:: England’s Greatest Puzzlist | 1958 | Jun | About Henry Ernest Dudeney, a brilliant creator of puzzles |
| 2. More Mathematical Puzzles and Diversions | 4. Digital Roots | 1958 | Jul | Some diverting tricks which involve the concept of numerical congruence |
| 2. More Mathematical Puzzles and Diversions | 5. Nine Problems | 1958 | Aug | A third collection of "brain-teasers" |
| 2. More Mathematical Puzzles and Diversions | 6. The Soma Cube | 1958 | Sep | A game in which standard pieces composed of cubes are assembled into larger forms |
| 2. More Mathematical Puzzles and Diversions | 7. Recreational Topology | 1958 | Oct | Four mathematical diversions involving concepts of topology |
| 2. More Mathematical Puzzles and Diversions | 8. Phi: The Golden Ratio | 1959 | Aug | About phi, an irrational number that has some remarkable geometrical expressions |
| 2. More Mathematical Puzzles and Diversions | 9. The Monkey and the Coconuts | 1958 | Apr | Concerning the celebrated puzzle of five sailors, a monkey and a pile of coconuts |
| 2. More Mathematical Puzzles and Diversions | 10. Mazes | 1959 | Jan | About mazes and how they can be traversed |
| 2. More Mathematical Puzzles and Diversions | 11. Recreational Logic | 1959 | Feb | "Brain-teasers" that involve formal logic |
| 2. More Mathematical Puzzles and Diversions | 12. Magic Squares | 1959 | Mar | Concerning the properties of various magic squares |
| 2. More Mathematical Puzzles and Diversions | 13. James Hugh Riley Shows, Inc. | 1959 | Apr | The mathematical diversions of a fictitious carnival man |
| 2. More Mathematical Puzzles and Diversions | 14. Nine More Problems | 1959 | May | Another collection of "brain-teasers" |
| 2. More Mathematical Puzzles and Diversions | 15. Eleusis: The Induction Game | 1959 | Jun | An inductive card game |
| 2. More Mathematical Puzzles and Diversions | 16. Origami | 1959 | Jul | About Origami, the Japanese art of folding objects out of paper |
| 2. More Mathematical Puzzles and Diversions | 17. Squaring the Square | 1958 | Nov | How rectangles, including squares, can be divided into squares of unequal size [cover] |
| 2. More Mathematical Puzzles and Diversions | 18. Mechanical Puzzles | 1959 | Sep | Concerning mechanical puzzles, and how an enthusiast has collected 2,000 of them |
| 2. More Mathematical Puzzles and Diversions | 19. Probability and Ambiguity | 1959 | Oct | Problems involving questions of probability and ambiguity |
| 3. New Mathematical Diversions from Scientific American | 1. The Binary System | 1960 | Dec | Some recreations involving the binary number system |
| 3. New Mathematical Diversions from Scientific American | 2. Group Theory and Braids | 1959 | Dec | Diversions that clarify group theory, particularly by the weaving of braids |
| 3. New Mathematical Diversions from Scientific American | 3. Eight Problems | 1960 | Feb | A fifth collection of "brain-teasers" |
| 3. New Mathematical Diversions from Scientific American | 4. The Games and Puzzles of Lewis Carroll | 1960 | Mar | The games and puzzles of Lewis Carroll |
| 3. New Mathematical Diversions from Scientific American | 5. Paper Cutting | 1960 | Jun | Recreations involving folding and cutting sheets of paper |
| 3. New Mathematical Diversions from Scientific American | 6. Board Games | 1960 | Apr | About mathematical games that are played on boards |
| 3. New Mathematical Diversions from Scientific American | 7. Packing Spheres | 1960 | May | Reflections on the packing of spheres |
| 3. New Mathematical Diversions from Scientific American | 8. The Transcendental Number Pi | 1960 | Jul | Incidental information about the extraordinary number pi |
| 3. New Mathematical Diversions from Scientific American | 9. Victor Eigen: Mathemagician | 1960 | Aug | An imaginary dialogue on "mathemagic": tricks based on mathematical principles |
| 3. New Mathematical Diversions from Scientific American | 10. The Four-Color Map Theorem | 1960 | Sep | The celebrated four-color map problem of topology |
| 3. New Mathematical Diversions from Scientific American | 11. Mr. Apollinax Visits New York | 1961 | May | In which the editor of this department meets the legendary Bertrand Apollinax |
| 3. New Mathematical Diversions from Scientific American | 12. Nine Problems | 1960 | Oct | A new collection of "brain-teasers" |
| 3. New Mathematical Diversions from Scientific American | 13. Polyominoes and Fault-Free Rectangles | 1960 | Nov | More about the shapes that can be made with complex dominoes |
| 3. New Mathematical Diversions from Scientific American | 14. Euler’s Spoilers: The Discovery of an Order-10 Graeco-Latin Square | 1959 | Nov | How three modern mathematicians disproved a celebrated conjecture of Leonhard Euler [cover] |
| 3. New Mathematical Diversions from Scientific American | 15. The Ellipse | 1961 | Feb | Diversions that involve one of the classic conic sections: the ellipse |
| 3. New Mathematical Diversions from Scientific American | 16. The 24 Color Squares and the 30 Color Cubes | 1961 | Mar | How to play dominoes in two and three dimensions |
| 3. New Mathematical Diversions from Scientific American | 17. H.S.M. Coxeter | 1961 | Apr | Concerning the diversions in a new book on geometry [cover] |
| 3. New Mathematical Diversions from Scientific American | 18. Bridg-it and Other Games | 1961 | Jul | Some diverting mathematical board games |
| 3. New Mathematical Diversions from Scientific American | 19. Nine More Problems | 1961 | Jun | A new collection of "brain teasers" |
| 3. New Mathematical Diversions from Scientific American | 20. The Calculus of Finite Differences | 1961 | Aug | Some entertainments that involve the calculus of finite differences |
| 4. The Magic Numbers of Dr. Matrix | 1. New York | 1960 | Jan | A fanciful dialogue about the wonders of numerology |
| 4. The Magic Numbers of Dr. Matrix | 2. Los Angeles | 1961 | Jan | In which the author chats again with Dr. Matrix, numerologist extraordinary |
| 4. The Magic Numbers of Dr. Matrix | 3. Sing Sing | 1963 | Jan | The author pays his annual visit to Dr. Matrix, the numerologist |
| 4. The Magic Numbers of Dr. Matrix | 4. Lincoln and Kennedy | No corresponding article | ||
| 4. The Magic Numbers of Dr. Matrix | 5. Chicago | 1964 | Jan | Presenting the one and only Dr. Matrix, numerologist, in his annual performance |
| 4. The Magic Numbers of Dr. Matrix | 6. Miami Beach | 1965 | Jan | Some comments by Dr. Matrix on symmetries and reversals |
| 4. The Magic Numbers of Dr. Matrix | 7. Philadelphia | 1966 | Jan | Dr. Matrix returns, now in the guise of a neo-Freudian psychonumeranalyst |
| 4. The Magic Numbers of Dr. Matrix | 8. Pi | No corresponding article | ||
| 4. The Magic Numbers of Dr. Matrix | 9. Wordsmith College | 1967 | Jan | Dr. Matrix delivers a talk on acrostics |
| 4. The Magic Numbers of Dr. Matrix | 10. Squaresville | 1968 | Jan | The beauties of the square, as expounded by Dr. Matrix to rehabilitate the hippie |
| 4. The Magic Numbers of Dr. Matrix | 11. Left Versus Right | No corresponding article | ||
| 4. The Magic Numbers of Dr. Matrix | 12. Fifth Avenue | 1969 | Jan | Dr. Matrix gives his explanation of why Mr. Nixon was elected President |
| 4. The Magic Numbers of Dr. Matrix | 13. The Moon | 1969 | Oct | A numeranalysis by Dr. Matrix of the lunar flight of Apollo 11 |
| 4. The Magic Numbers of Dr. Matrix | 14. Honolulu | 1971 | Jan | Lessons from Dr. Matrix in chess and numerology |
| 4. The Magic Numbers of Dr. Matrix | 15. Houston | 1972 | Feb | Dr. Matrix poses some heteroliteral puzzles while peddling perpetual motion in Houston |
| 4. The Magic Numbers of Dr. Matrix | 16. Clairvoyance Test | 1973 | Aug | An astounding self-test of clairvoyance by Dr. Matrix |
| 4. The Magic Numbers of Dr. Matrix | 17. Pyramid Lake | 1974 | Jun | Dr. Matrix brings his numerological Science to bear on the occult powers of the pyramid |
| 4. The Magic Numbers of Dr. Matrix | 18. The King James Bible | 1975 | Sep | Dr. Matrix finds numerological wonders in the King James Bible |
| 4. The Magic Numbers of Dr. Matrix | 19. Calcutta | 1976 | Nov | In which DM (Dr. Matrix) is revealed as the guru of PM (Pentagonal Meditation) |
| 4. The Magic Numbers of Dr. Matrix | 20. Stanford | 1977 | Dec | Dr. Matrix goes to California to apply punk to rock study |
| 4. The Magic Numbers of Dr. Matrix | 21. Chautauqua | 1978 | Dec | Is it a superintelligent robot or does Dr. Matrix ride again? |
| 4. The Magic Numbers of Dr. Matrix | 22. Istanbul | 1980 | Sep | Dr. Matrix, like Mr. Holmes, comes to an untimely and mysterious end |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 1. The Paradox of the Unexpected Hanging | 1963 | Mar | A new paradox, and variations on it, about a man condemned to be hanged |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 2. Knots and Borromean Rings | 1961 | Sep | Surfaces with edges linked in the same way as the three rings of a well-known design |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 3. The Transcendental Number e | 1961 | Oct | Diversions that involve the mathematical constant "e" |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 4. Geometric Dissections | 1961 | Nov | Wherein geometrical figures are dissected to make other figures |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 5. Scarne on Gambling | 1961 | Dec | On the theory of probability and the practice of gambling |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 6. The Church of the Fourth Dimension | 1962 | Jan | An adventure in hyperspace at the Church of the Fourth Dimension |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 7. Eight Problems | 1962 | Feb | A clutch of diverting problems |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 8. A Matchbox Game-Learning Machine | 1962 | Mar | How to build a game-learning machine and teach it to play and win |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 9. Spirals | 1962 | Apr | About three types of spirals and how to construct them |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 10. Rotations and Reflections | 1962 | May | Symmetry and asymmetry and the strange world of upside-down art |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 11. Peg Solitaire | 1962 | Jun | The game of solitaire and some variations and transformations |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 12. Flatlands | 1962 | Jul | Fiction about life in two dimensions |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 13. Chicago Magic Convention | 1962 | Aug | A variety of diverting tricks collected at a fictitious convention of magicians |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 14. Tests of Divisibility | 1962 | Sep | Tests that show whether a large number can be divided by a number from 2 to 12 |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 15. Nine Problems | 1962 | Oct | A collection of puzzles involving numbers, logic, and probability |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 16. The Eight Queens and Other Chessboard Diversions | 1962 | Nov | Some puzzles based on checkerboards |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 17. A Loop of String | 1962 | Dec | Some simple tricks and manipulations from the ancient lore of string play |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 18. Curves of Constant Width | 1963 | Feb | Curves of constant width, one of which makes it possible to drill square holes |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 19. Rep-Tiles: Replicating Figures on the Plane | 1963 | May | On "rep-tiles", polygons that can make larger and smaller copies of themselves |
| 5. The Unexpected Hanging and Other Mathematical Diversions | 20. Thirty-Seven Catch Questions | 1963 | Apr | A bit of foolishness for April Fools' Day |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 1. The Helix | 1963 | Jun | A discussion of helical structures, from corkscrews to DNA molecules |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 2. Klein Bottles and Other Surfaces | 1963 | Jul | Topological diversions, including a bottle with no inside or outside |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 3. Combinatorial Theory | 1963 | Aug | Permutations and paradoxes in combinatorial mathematics |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 4. Bouncing Balls in Polygons and Polyhedrons | 1963 | Sep | How to solve puzzles by graphing the rebounds of a bouncing ball |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 5. Four Unusual Board Games | 1963 | Oct | About two new and two old mathematical board games |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 6. The Rigid Square and Eight Other Problems | 1963 | Nov | A mixed bag of problems |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 7. Sliding-Block Puzzles | 1964 | Feb | The hypnotic fascination of sliding-block puzzles |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 8. Parity Checks | 1963 | Dec | How to use the odd-even check for tricks and problem-solving |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 9. Patterns and Primes | 1964 | Mar | The remarkable lore of the prime numbers [cover] |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 10. Graph Theory | 1964 | Apr | Various problems based on planar graphs, or sets of "vertices" connected by "edges" |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 11. The Ternary System | 1964 | May | The tyranny of 10 overthrown with the ternary number system |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 12. The Trip around the Moon and Seven Other Problems | 1964 | Jun | A collection of short problems and more talk of prime numbers |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 13. The Cycloid: Helen of Geometry | 1964 | Jul | Curious properties of a cycloid curve |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 14. Mathematical Magic Tricks | 1964 | Aug | Concerning several magic tricks based on mathematical principles |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 15. Word Play | 1964 | Sep | Puns, palindromes and other word games that partake of the mathematical spirit |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 16. The Pythagorean Theorem | 1964 | Oct | Simple proofs of the Pythagorean theorem, and sundry other matters |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 17. Limits of Infinite Series | 1964 | Nov | Some paradoxes and puzzles involving infinite series and the concept of limit |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 18. Polyiamonds | 1964 | Dec | On polyiamonds: shapes that are made out of equilateral triangles |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 19. Tetrahedons | 1965 | Feb | Tetrahedrons in nature and architecture, and puzzles involving this simplest polyhedron |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 20. Coleridge’s Apples and Eight Other Problems | 1965 | Mar | A new group of short problems |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 21. The Lattice of Integers | 1965 | May | The lattice of integers considered as an orchard or a billiard table |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 22. Infinite Regress | 1965 | Apr | The infinite regress in philosophy, literature and mathematical proof |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 23. O’Gara, the Mathematical Mailman | 1965 | Jun | Some diversions and problems from Mr. O'Gara, the postman |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 24. Op Art | 1965 | Jul | On the relation between mathematics and the ordered patterns of Op art [cover] |
| 6. Martin Gardner's Sixth Book of Mathematical Games from Scientific American | 25. Extraterrestrial Communications | 1965 | Aug | Thoughts on the task of communication with intelligent organisms on other worlds |
| 7. Mathematical Carnival | 1. Sprouts and Brussels Sprouts | 1967 | Jul | Of sprouts and Brussels sprouts, games with a topological flavor |
| 7. Mathematical Carnival | 2. Penny Puzzles | 1966 | Feb | Recreational numismatics, or a purse of coin puzzles |
| 7. Mathematical Carnival | 3. Aleph-Null and Aleph-one | 1966 | Mar | The hierarchy of infinities and the problems it spawns |
| 7. Mathematical Carnival | 4. Hypercubes | 1966 | Nov | Is it possible to visualize a four-dimensional figure? |
| 7. Mathematical Carnival | 5. Magic Stars and Polyhedrons | 1965 | Dec | Magic stars, graphs and polyhedrons |
| 7. Mathematical Carnival | 6. Calculating Prodigies | 1967 | Apr | The amazing feats of professional mental calculators, and some tricks of the trade |
| 7. Mathematical Carnival | 7. Tricks of Lightning Calculators | 1967 | May | Cube-root extraction and the calendar trick, or how to cheat in mathematics |
| 7. Mathematical Carnival | 8. The Art of M. C. Escher | 1966 | Apr | The eerie mathematical art of Maurits C. Escher |
| 7. Mathematical Carnival | 9. The Red-Faced Cube and Other Problems | 1965 | Nov | A selection of elementary word and number problems |
| 7. Mathematical Carnival | 10. Card Shuffles | 1966 | Oct | Can the shuffling of cards (and other apparently random events) be reversed? |
| 7. Mathematical Carnival | 11. Mrs. Perkins’ Quilt and Other Square-Packing Problems | 1966 | Sep | The problem of Mrs. Perkins' quilt |
| 7. Mathematical Carnival | 12. The Numerology of Dr. Fliess | 1966 | Jul | Freud's friend Wilhelm Fliess and his theory of male and female life cycles |
| 7. Mathematical Carnival | 13. Random Numbers | 1968 | Jul | On the meaning of randomness and some ways of achieving it |
| 7. Mathematical Carnival | 14. The Rising Hourglass and Other Physics Puzzles | 1966 | Aug | Puzzles that can be solved by reasoning based on elementary physical principles |
| 7. Mathematical Carnival | 15. Pascal’s Triangle | 1966 | Dec | The multiple charms of Pascal's triangle |
| 7. Mathematical Carnival | 16. Jam, Hot, and Other Games | 1967 | Feb | Mathematical strategies for two-person contests |
| 7. Mathematical Carnival | 17. Cooks and Quibble-Cooks | 1966 | May | How to "cook" a puzzle, or mathematical one-uppery |
| 7. Mathematical Carnival | 18. Piet Hein’s Superellipse | 1965 | Sep | The "superellipse": a curve that lies between the ellipse and the rectangle |
| 7. Mathematical Carnival | 19. How to Trisect an Angle | 1966 | Jun | The persistence (and futility) of efforts to trisect the angle |
| 8. Mathematical Magic Show | 1. Nothing | 1975 | Feb | How the absence of anything leads to thoughts of nothing |
| 8. Mathematical Magic Show | 2. More Ado About Nothing | No corresponding article | ||
| 8. Mathematical Magic Show | 3. Game Theory, Guess It, Foxholes | 1967 | Dec | Game theory is applied (for a change) to games |
| 8. Mathematical Magic Show | 4. Factorial Oddities | 1967 | Aug | In which a computer prints out mammoth polygonal factorials |
| 8. Mathematical Magic Show | 5. The Cocktail Cherry and Other Problems | 1967 | Nov | A mixed bag of logical and illogical problems to solve |
| 8. Mathematical Magic Show | 6. Double Acrostics | 1967 | Sep | Double acrostics, stylized Victorian ancestors of today's crossword puzzle |
| 8. Mathematical Magic Show | 7. Playing Cards | 1968 | Jun | Combinatorial possibilities in a pack of shuffled cards |
| 8. Mathematical Magic Show | 8. Finger Arithmetic | 1968 | Sep | Counting systems and the relationship between numbers and the real world |
| 8. Mathematical Magic Show | 9. Möbius Bands | 1968 | Dec | The world of the Möbius strip: endless, edgeless and one-sided |
| 8. Mathematical Magic Show | 10. Ridiculous Questions | 1968 | Aug | An array of puzzles and tricks, with a few traps for the unwary |
| 8. Mathematical Magic Show | 11. Polyhexes and Polyaboloes | 1967 | Jun | The polyhex and the polyabolo, polygonal jigsaw puzzle pieces |
| 8. Mathematical Magic Show | 12. Perfect, Amicable, Sociable | 1968 | Mar | A short treatise on the useless elegance of perfect numbers and amicable pairs |
| 8. Mathematical Magic Show | 13. Polyominoes and Rectification | 1965 | Oct | Pentominoes and polyominoes: five games and a sampling of problems |
| 8. Mathematical Magic Show | 14. Knights of the Square Table | 1967 | Oct | Problems that are built on the knight's move in chess |
| 8. Mathematical Magic Show | 15. The Dragon Curve and Other Problems | 1967 | Mar | An array of problems that can be solved with elementary mathematical techniques |
| 8. Mathematical Magic Show | 16. Colored Triangles and Cubes | 1968 | Oct | MacMahon's color triangles and the joys of fitting them together |
| 8. Mathematical Magic Show | 17. Trees | 1968 | Feb | Combinatorial problems involving tree graphs and forests of trees |
| 8. Mathematical Magic Show | 18. Dice | 1968 | Nov | On the ancient lore of dice and the odds against making a point |
| 8. Mathematical Magic Show | 19. Everything | 1976 | May | A few words about everything there was, is and ever will be |
| 9. Mathematical Circus | 1. Optical Illusions | 1970 | May | Of optical illusions, from figures that are undecidable to hot dogs that float |
| 9. Mathematical Circus | 2. Matches | 1969 | Jul | Tricks, games and puzzles that employ matches as counters and line segments |
| 9. Mathematical Circus | 3. Spheres and Hyperspheres | 1968 | May | Circles and spheres, and how they kiss and pack |
| 9. Mathematical Circus | 4. Patterns of Induction | 1969 | Nov | A new pencil-and-paper game based on inductive reasoning [cover] |
| 9. Mathematical Circus | 5. Elegant Triangles | 1970 | Jun | Elegant triangle theorems not to be found in Euclid |
| 9. Mathematical Circus | 6. Random Walks and Gambling | 1969 | May | The rambling random walk and its gambling equivalent |
| 9. Mathematical Circus | 7. Random Walks on the Plane and in Space | 1969 | Jun | Random walks, by semidrunk bugs and others, on the square and on the cube |
| 9. Mathematical Circus | 8. Boolean Algebra | 1969 | Feb | Boolean algebra, Venn diagrams and the propositional calculus |
| 9. Mathematical Circus | 9. Can Machines Think? | 1971 | Jun | The Turing game and the question it presents: Can a computer think? |
| 9. Mathematical Circus | 10. Cyclic Numbers | 1970 | Mar | Cyclic numbers and their properties |
| 9. Mathematical Circus | 11. Eccentric Chess and Other Problems | 1970 | Feb | Nine new puzzles to solve |
| 9. Mathematical Circus | 12. Dominoes | 1969 | Dec | A handful of combinatorial problems based on dominoes |
| 9. Mathematical Circus | 13. Fibonacci and Lucas Numbers | 1969 | Mar | The multiple fascinations of the Fibonacci sequence |
| 9. Mathematical Circus | 14. Simplicity | 1969 | Aug | Simplicity as a scientific concept: Does nature keep her accounts on a thumbnail? |
| 9. Mathematical Circus | 15. The Rotating Round Table and Other Problems | 1969 | Apr | An octet of problems that emphasize gamesmanship, logic and probability |
| 9. Mathematical Circus | 16. Solar System Oddities | 1970 | Apr | Some mathematical curiosities embedded in the solar system |
| 9. Mathematical Circus | 17. Mascheroni Constructions | 1969 | Sep | Geometric constructions with a compass and a straightedge, and also with a compass alone |
| 9. Mathematical Circus | 18. The Abacus | 1970 | Jan | The abacus: primitive but effective digital computer |
| 9. Mathematical Circus | 19. Palindromes: Words and Numbers | 1970 | Aug | Backward run numbers, letters, words and sentences until boggles the mind |
| 9. Mathematical Circus | 20. Dollar Bills | 1968 | Apr | Puzzles and tricks with a dollar bill |
| 10. Wheels, Life, and Other Mathematical Amusements | 1. Wheels | 1970 | Sep | On the cyclical curves generated by wheels that roll along wheels |
| 10. Wheels, Life, and Other Mathematical Amusements | 2. Diophantine Analysis and Fermat's Last Theorem | 1970 | Jul | Diophantine analysis and the problem of Fermat's legendary "last theorem" |
| 10. Wheels, Life, and Other Mathematical Amusements | 3. The Knotted Molecule and Other Problems | 1970 | Nov | A new collection of short problems and the answers to some of "life's" |
| 10. Wheels, Life, and Other Mathematical Amusements | 4. Alephs and Supertasks | 1971 | Mar | The orders of infinity, the topological nature of dimension and "supertasks" |
| 10. Wheels, Life, and Other Mathematical Amusements | 5. Nontransitive Dice and Other Probability Paradoxes | 1970 | Dec | The paradox of the nontransitive dice and the elusive principle of indifference |
| 10. Wheels, Life, and Other Mathematical Amusements | 6. Geometric Fallacies | 1971 | Apr | Geometric fallacies: hidden errors pave the road to absurd conclusions |
| 10. Wheels, Life, and Other Mathematical Amusements | 7. The Combinatorics of Paper Folding | 1971 | May | The combinatorial richness of folding a piece of paper |
| 10. Wheels, Life, and Other Mathematical Amusements | 8. A Set of Quickies | 1971 | Jul | Quickie problems: not hard, but look out for the curves |
| 10. Wheels, Life, and Other Mathematical Amusements | 9. Ticktacktoe Games | 1971 | Aug | Ticktacktoe and its complications |
| 10. Wheels, Life, and Other Mathematical Amusements | 10. Plaiting Polyhedrons | 1971 | Sep | The plaiting of Plato's polyhedrons and the asymmetrical yin-yang-lee |
| 10. Wheels, Life, and Other Mathematical Amusements | 11. The Game of Halma | 1971 | Oct | New puzzles from the game of Halma, the noble ancestor of Chinese checkers |
| 10. Wheels, Life, and Other Mathematical Amusements | 12. Advertising Premiums | 1971 | Nov | Advertising premiums to beguile the mind: classics by Sam Loyd, master puzzle-poser |
| 10. Wheels, Life, and Other Mathematical Amusements | 13. Salmon on Austin's Dog | 1971 | Dec | Further encounters with touching cubes, and the paradoxes of Zeno as "supertasks" |
| 10. Wheels, Life, and Other Mathematical Amusements | 14. Nim and Hackenbush | 1972 | Jan | How to triumph at nim by playing safe, and John Horton Conway's game "Hackenbush" |
| 10. Wheels, Life, and Other Mathematical Amusements | 15. Golomb’s Graceful Graphs | 1972 | Mar | The graceful graphs of Solomon Golomb, or how to number a graph parsimoniously |
| 10. Wheels, Life, and Other Mathematical Amusements | 16. Charles Addams’ Skier and other Problems | 1972 | Apr | A topological problem with a fresh twist, and eight other new recreational puzzles |
| 10. Wheels, Life, and Other Mathematical Amusements | 17. Chess Tasks | 1972 | May | Challenging chess tasks for puzzle buffs and answers to the recreational problems |
| 10. Wheels, Life, and Other Mathematical Amusements | 18. Slither, 3X+1, and Other Curious Questions | 1972 | Jun | A miscellany of transcendental problems: simple to state but not at all easy to solve |
| 10. Wheels, Life, and Other Mathematical Amusements | 19. Mathematical Tricks With Cards | 1972 | Jul | Amazing mathematical card tricks that do not require prestidigitation |
| 10. Wheels, Life, and Other Mathematical Amusements | 20. The Game of Life, Part I | 1970 | Oct | The fantastic combinations of John Conway's new solitaire game "life" |
| 10. Wheels, Life, and Other Mathematical Amusements | 21. The Game of Life, Part II | 1971 | Feb | On cellular automata, self-reproduction, the Garden of Eden and the game "life" [cover] |
| 10. Wheels, Life, and Other Mathematical Amusements | 22. The Game of Life, Part III | No corresponding article | ||
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 1. Coincidence | 1972 | Oct | Why the long arm of coincidence is usually not as long as it seems |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 2. The Binary Gray Code | 1972 | Aug | The curious properties of the Gray code and how it can be used to solve puzzles |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 3. Polycubes | 1972 | Sep | Pleasurable problems with polycubes |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 4. Bacon’s Cipher | 1972 | Nov | On the practical uses and bizarre abuses of Sir Francis Bacon's biliteral cipher |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 5. Doughnuts: Linked and Knotted | 1972 | Dec | Knotty problems with a two-hole torus |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 6. The Tour of the Arrows and Other Problems | 1973 | May | A new miscellany of problems |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 7. Napier's Bones | 1973 | Mar | The calculating rods of John Napier, the eccentric father of the logarithm |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 8. Napier’s Abacus | 1973 | Apr | How to turn a chessboard into a computer and to calculate with negabinary numbers |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 9. Sim, Chomp and Racetrack | 1973 | Jan | Sim, Chomp and Race Track: new games for the intellect (and not for Lady Luck) |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 10. Elevators | 1973 | Feb | Up-and-down elevator games and Piet Hein's mechanical puzzles |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 11. Crossing Numbers | 1973 | Jun | Plotting the crossing number of graphs |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 12. Point Sets on the Sphere | 1973 | Sep | Problems on the surface of a sphere offer an entertaining introduction to point sets |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 13. Newcomb’s Paradox | 1973 | Jul | Free will revisited, with a mind-bending prediction paradox by William Newcomb |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 14. Reflections on Newcomb’s Paradox | 1974 | Mar | Reflections on Newcomb's problem: a prediction and free-will dilemma |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 15. Reverse the Fish and Other Problems | 1974 | Apr | Nine challenging problems, some rational and some not |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 16. Look-See Proofs | 1973 | Oct | "Look-see" diagrams that offer visual proof of complex algebraic formulas |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 17. Worm Paths | 1973 | Nov | Fantastic patterns traced by programmed "worms" |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 18. Waring’s Problems | 1973 | Dec | On expressing integers as the sum of cubes and other unsolved number-theory problems |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 19. Cram, Bynum and Quadraphage | 1974 | Feb | Cram, crosscram and quadraphage: new games having elusive winning strategies |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 20. The I Ching | 1974 | Jan | The combinatorial basis of the "I Ching," the Chinese book of divination and wisdom [cover] |
| 11. Knotted Doughnuts and Other Mathematical Entertainments | 21. The Laffer Curve | 1981 | Dec | The Laffer curve and other laughs in current economics |
| 12. Time Travel and Other Mathematical Bewilderments | 1. Time Travel | 1974 | May | On the contradictions of time travel |
| 12. Time Travel and Other Mathematical Bewilderments | 2. Hexes and Stars | 1974 | Jul | On the patterns and the unusual properties of figurate numbers |
| 12. Time Travel and Other Mathematical Bewilderments | 3. Tangrams, Part 1 | 1974 | Aug | On the fanciful history and the creative challenges of the puzzle game of tangrams |
| 12. Time Travel and Other Mathematical Bewilderments | 4. Tangrams, Part 2 | 1974 | Sep | More on tangrams: Combinatorial problems and the game possibilities of snug tangrams |
| 12. Time Travel and Other Mathematical Bewilderments | 5. Nontransitive Paradoxes | 1974 | Oct | On the paradoxical situations that arise from nontransitive relations |
| 12. Time Travel and Other Mathematical Bewilderments | 6. Combinatorial Card Problems | 1974 | Nov | Some new and dramatic demonstrations of number theorems with playing cards |
| 12. Time Travel and Other Mathematical Bewilderments | 7. Melody-Making Machines | 1974 | Dec | The arts as combinatorial mathematics, or how to compose like Mozart with dice |
| 12. Time Travel and Other Mathematical Bewilderments | 8. Anamorphic Art | 1975 | Jan | The curious magic of anamorphic art [cover] |
| 12. Time Travel and Other Mathematical Bewilderments | 9. The Rubber Rope and Other Problems | 1975 | Mar | From rubber ropes to rolling cubes, a miscellany of refreshing problems |
| 12. Time Travel and Other Mathematical Bewilderments | 10. Six Sensational Discoveries | 1975 | Apr | Six sensational discoveries that somehow or another have escaped public attention |
| 12. Time Travel and Other Mathematical Bewilderments | 11. The Császár Polyhedron | 1975 | May | On the remarkable Császár polyhedron and its applications in problem solving |
| 12. Time Travel and Other Mathematical Bewilderments | 12. Dodgem and Other Simple Games | 1975 | Jun | Games of strategy for two players: star nim, meander, dodgem and rex |
| 12. Time Travel and Other Mathematical Bewilderments | 13. Tiling with Convex Polygons | 1975 | Jul | On tessellating the plane with convex polygon tiles |
| 12. Time Travel and Other Mathematical Bewilderments | 14. Tiling with Polyominoes, Polyiamonds, and Polyhexes | 1975 | Aug | More about tiling the plane: the possibilities of polyominoes, polyiamonds, and polyhexes |
| 12. Time Travel and Other Mathematical Bewilderments | 15. Curious Maps | 1975 | Nov | On map projections (with special reference to some inspired ones) [cover] |
| 12. Time Travel and Other Mathematical Bewilderments | 16. The Sixth Symbol and Other Problems | 1975 | Dec | A random assortment of puzzles, together with reader responses to earlier problems |
| 12. Time Travel and Other Mathematical Bewilderments | 17. Magic Squares and Cubes | 1976 | Jan | A breakthrough in magic squares, and the first perfect magic cube |
| 12. Time Travel and Other Mathematical Bewilderments | 18. Block Packing | 1976 | Feb | Some elegant brick-packing problems, and a new order-7 perfect magic cube |
| 12. Time Travel and Other Mathematical Bewilderments | 19. Induction and Probability | 1976 | Mar | On the fabric of inductive logic, and some probability paradoxes |
| 12. Time Travel and Other Mathematical Bewilderments | 20. Catalan Numbers | 1976 | Jun | Catalan numbers: an integer sequence that materializes in unexpected places |
| 12. Time Travel and Other Mathematical Bewilderments | 21. Fun with a Pocket Calculator | 1976 | Jul | Fun and serious business with the small electronic calculator |
| 12. Time Travel and Other Mathematical Bewilderments | 22. Tree-Plant Problems | 1976 | Aug | The symmetrical arrangement of the stars on the American flag and related matters |
| 13. Penrose Tiles to Trapdoor Ciphers | 1. Penrose Tiling | 1977 | Jan | Extraordinary nonperiodic tiling that enriches the theory of tiles [cover] |
| 13. Penrose Tiles to Trapdoor Ciphers | 2. Penrose Tiling II | No corresponding article | ||
| 13. Penrose Tiles to Trapdoor Ciphers | 3. Mandelbrot’s Fractals | 1976 | Dec | In which "monster" curves force redefinition of the word "curve" |
| 13. Penrose Tiles to Trapdoor Ciphers | 4. Conway's Surreal Numbers | 1976 | Sep | John Horton Conway's book covers an infinity of games |
| 13. Penrose Tiles to Trapdoor Ciphers | 5. Back from the Klondike and Other Problems | 1976 | Oct | Combinatorial problems, some old, some new and all newly attacked by computer |
| 13. Penrose Tiles to Trapdoor Ciphers | 6. The Oulipo | 1977 | Feb | The flip-strip sonnet, the lipogram and other mad modes of wordplay |
| 13. Penrose Tiles to Trapdoor Ciphers | 7. The Oulipo II | No corresponding article | ||
| 13. Penrose Tiles to Trapdoor Ciphers | 8. Wythoff's Nim | 1977 | Mar | Cornering a queen leads unexpectedly into corners of the theory of numbers |
| 13. Penrose Tiles to Trapdoor Ciphers | 9. Pool-Ball Triangles and Other Problems | 1977 | Apr | The pool-table triangle, a limerick paradox and divers other challenges |
| 13. Penrose Tiles to Trapdoor Ciphers | 10. Mathematical Induction and Colored Hats | 1977 | May | The "jump proof" and its similarity to the toppling of a row of dominoes |
| 13. Penrose Tiles to Trapdoor Ciphers | 11. Negative Numbers | 1977 | Jun | The concept of negative numbers and the difficulty of grasping it |
| 13. Penrose Tiles to Trapdoor Ciphers | 12. Cutting Shapes into N Congruent Parts | 1977 | Jul | Cutting things into equal parts leads into significant areas of mathematics |
| 13. Penrose Tiles to Trapdoor Ciphers | 13. Trapdoor Ciphers | 1977 | Aug | A new kind of cipher that would take millions of years to break |
| 13. Penrose Tiles to Trapdoor Ciphers | 14. Trapdoor Ciphers II | No corresponding article | ||
| 13. Penrose Tiles to Trapdoor Ciphers | 15. Hyperbolas | 1977 | Sep | On conic sections, ruled surfaces and other manifestations of the hyperbola |
| 13. Penrose Tiles to Trapdoor Ciphers | 16. The New Eleusis | 1977 | Oct | On playing New Eleusis, the game that simulates the search for truth |
| 13. Penrose Tiles to Trapdoor Ciphers | 17. Ramsey Theory | 1977 | Nov | In which joining sets of points by lines leads into diverse (and diverting) paths |
| 13. Penrose Tiles to Trapdoor Ciphers | 18. From Burrs to Berrocal | 1978 | Jan | The sculpture of Miguel Berrocal can be taken apart like an interlocking mechanical puzzle |
| 13. Penrose Tiles to Trapdoor Ciphers | 19. Sicherman Dice, the Kruskal Count and Other Curiosities | 1978 | Feb | On checker jumping, the Amazon game, weird dice, card tricks and other playful pastimes |
| 13. Penrose Tiles to Trapdoor Ciphers | 20. Ramond Smullyan's Logic Puzzles | 1978 | Mar | Count Dracula, Alice, Portia and many others consider various twists of logic |
| 13. Penrose Tiles to Trapdoor Ciphers | 21. The Return of Dr. Matrix | No corresponding article | ||
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 1. White, Brown, and Fractal Music | 1978 | Apr | White and brown music, fractal curves and one-over-f fluctuations [cover] |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 2. The Tinkly Temple Bells | 1978 | May | The Bells: versatile numbers that can count partitions of a set, primes and even rhymes |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 3. The Mathematical Zoo | 1978 | Jun | A mathematical zoo of astounding critters, imaginary and otherwise |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 4. Charles Sanders Peirce | 1978 | Jul | On Charles Sanders Peirce: philosopher and gamesman |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 5. Twisted Prismatic Rings | 1978 | Aug | A Möbius band has a finite thickness, and so it is actually a twisted prism |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 6. The Thirty Color Cubes | 1978 | Sep | Puzzling over a problem-solving matrix, cubes of many colors and three-dimensional dominoes |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 7. Egyptian Fractions | 1978 | Oct | Puzzles and number-theory problems arising from the curious fractions of ancient Egypt |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 8. Minimal Sculpture | 1978 | Nov | In which a mathematical aesthetic is applied to modern minimal art |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 9. Minimal Sculpture II | No corresponding article | ||
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 10. Tangent Circles | 1979 | Jan | The diverse pleasures of circles that are tangent to one another |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 11. The Rotating Table and Other Problems | 1979 | Feb | About rectangling rectangles, parodying Poe and many another pleasing problem |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 12. Does Time Ever Stop? Can the Past Be Altered? | 1979 | Mar | On altering the past, delaying the future and other ways of tampering with time |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 13. Generalized Ticktacktoe | 1979 | Apr | In which players of ticktacktoe are taught to hunt bigger game |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 14. Psychic Wonders and Probability | 1979 | May | How to be a psychic, even if you are a horse or some other animal |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 15. Mathematical Chess Problems | 1979 | Jun | Chess problems on a higher plane, including mirror images, rotations and the superqueen |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 16. Douglas Hofstadter's Gödel, Escher, Bach | 1979 | Jul | Douglas R. Hofstadter's "Gödel, Escher, Bach" |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 17. Imaginary Numbers | 1979 | Aug | The imaginableness of the imaginary numbers |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 18. Pi and Poetry: Some Accidental Patterns | 1979 | Sep | In some patterns of numbers or words there may be less than meets the eye |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 19. More on Poetry | No corresponding article | ||
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 20. Packing Squares | 1979 | Oct | Some packing problems that cannot be solved by sitting on the suitcase |
| 14. Fractal Music, Hypercards and More...: Mathematical Recreations from Scientific American Magazine | 21. Chaitin's Omega | 1979 | Nov | The random number omega bids fair to hold the mysteries of the universe |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 1. The Wonders of a Planiverse | 1980 | Jul | The pleasures of doing Science and technology in the planiverse |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 2. Bulgarian Solitaire and Other Seemingly Endless Tasks | 1983 | Aug | Tasks you cannot help finishing no matter how hard you try to block finishing them |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 3. Fun with Eggs, Part I | 1980 | Apr | Fun with eggs: uncooked, cooked and mathematical |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 4. Fun with Eggs, Part II | No corresponding article | ||
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 5. The Topology of Knots | 1983 | Sep | The topology of knots |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 6. M-Pire Maps | 1980 | Feb | The coloring of unusual maps leads into uncharted territory |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 7. Directed Graphs and Cannibals | 1980 | Mar | Graphs that can help cannibals, missionaries, wolves, goats and cabbages get there from here |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 8. Dinner Guests, Schoolgirls, and Handcuffed Prisoners | 1980 | May | What unifies dinner guests, strolling schoolgirls and handcuffed prisoners? |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 9. The Monster and Other Sporadic Groups | 1980 | Jun | The capture of the monster: a mathematical group with a ridiculous number of elements |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 10. Taxicab Geometry | 1980 | Nov | Taxicab geometry offers a free ride to a non-Euclidean locale |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 11. The Power of the Pigeonhole | 1980 | Aug | On the fine art of putting players, pills and points into their proper pigeonholes |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 12. Strong Laws of Small Primes | 1980 | Dec | Patterns in primes are a clue to the strong law of small numbers |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 13. Checker Recreations, Part I | 1980 | Jan | Checkers, a game that can be more interesting than one might think |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 14. Checker Recreations, Part II | No corresponding article | ||
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 15. Modulo Arithmetic and Hummer’s Wicked Witch | 1981 | Feb | Gauss's congruence theory was mod as early as 1801 |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 16. Lavinia Seeks a Room and Other Problems | 1981 | Apr | How Lavinia finds a room on University Avenue, and other geometric problems |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 17. The Symmetry Creations of Scott Kim | 1981 | Jun | The inspired geometrical symmetries of Scott Kim |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 18. Parabolas | 1981 | Aug | The abstract parabola fits the concrete world |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 19. Non-Euclidean Geometry | 1981 | Oct | Euclid's parallel postulate and its modern offspring |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 20. Voting Mathematics | 1980 | Oct | From counting votes to making votes count: the mathematics of elections |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 21. A Toroidal Paradox and Other Problems | 1979 | Dec | A pride of problems, including one that is virtually impossible |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 22. Minimal Steiner Trees | 1986 | Jun | Casting a net on a checkerboard and other puzzles of the forest |
| 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications | 23. Trivalent Graphs, Snarks, and Boojums | 1976 | Apr | Snarks, Boojums and other conjectures related to the four-color-map theorem |